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AoPS Wiki:Problem of the Day/June 22, 2011

< AoPS Wiki:Problem of the Day
Revision as of 19:56, 21 June 2011 by Btilm305 (talk | contribs) (Protected "AoPSWiki:Problem of the Day/June 22, 2011": Problem of the Day ([edit=sysop] (indefinite) [move=sysop] (indefinite)))
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A tower of cubes has a height of infinity, and the tower goes on infinitely. The first cube has a side length of 3 feet. Every cube after that one has a side length that is $\frac{5}{7}$ as long as the side length of the cube beneath it. What is the total volume of the entire structure?

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